Energy Correlators Beyond Angles

Abstract

Energy correlators are theoretically simple and physically intuitive observables that bridge experimental and theoretical particle physics. They have for example enabled the most precise jet substructure determination of the strong coupling constant to date, and recent proposals suggest that they may be used to precisely determine of the top quark mass with calculable, small theoretical uncertainties. However, existing energy correlators all measure correlations in angles between particles, from which other observables such as mass must be inferred through potentially complicated procedures. In this work, we generalize energy correlators to enable straightforward measurements of non-angular correlations, which we call Energy Weighted Observable Correlations (EWOCs). To enforce collinear safety, EWOCs quantify correlations between subjets rather than particles. The subjet radius can be tuned to control both the physical scales probed by EWOCs and their sensitivity to non-perturbative physics. We focus on the phenomenologically relevant example of the mass EWOC, which measures mass correlations between pairs of subjets, in the task of extracting mass scales from jets. In jet substructure determinations of the mass of a hadronically-decaying W boson, we show that the mass EWOC outperforms the angle-based energy correlator, and performs comparably to the soft-drop groomed jet mass. As a first exploration of the theoretical properties of EWOCs, we also calculate the mass EWOC on light-quark jets and compare to results obtained with Pythia.

arXiv comment21 pages, 9 figures. Code available at https://github.com/samcaf/ResolvedEnergyCorrelators . v2: journal version

References in corpus (93)

• The anti-k_t jet clustering algorithm
• FastJet user manual
• Radiative energy loss and $p_{\perp }$-broadening of high energy partons in nuclei
• Successive Combination Jet Algorithm For Hadron Collisions
• Better Jet Clustering Algorithms
• Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma
• Tuning PYTHIA 8.1: the Monash 2013 Tune
• Soft Drop
• Fully quantum treatment of the Landau--Pomeranchuk--Migdal effect in QED and QCD
• Reaction Operator Approach to Non-Abelian Energy Loss
• Multiple Collisions and Induced Gluon Bremsstrahlung in QCD
• Conformal collider physics: Energy and charge correlations
• Radiative energy loss of high energy quarks in finite-size nuclear matter and quark-gluon plasma
• Gluon Radiation off Hard Quarks in a Nuclear Environment: Opacity Expansion
• Multiple Parton Scattering in Nuclei: Parton Energy Loss
• Towards an understanding of jet substructure
• Induced Gluon Radiation in a QCD Medium
• Power corrections to event shapes and factorization
• Light-ray operators in conformal field theory
• Jet Shapes with the Broadening Axis
• Small-radius jets to all orders in QCD
• The Collinear Limit of the Energy-Energy Correlator
• Medium-induced gluon branching
• A Proof of the Conformal Collider Bounds
• The semi-inclusive jet function in SCET and small radius resummation for inclusive jet production
• Rethinking Jets with Energy Correlators: Tracks, Resummation and Analytic Continuation
• Three-jet production in electron-positron collisions using the CoLoRFulNNLO method
• Energy flow polynomials: A complete linear basis for jet substructure
• From correlation functions to event shapes
• Jets and Quantum Field Theory
• An effective theory for jet propagation in dense QCD matter: jet broadening and medium-induced bremsstrahlung
• Jet Observables Without Jet Algorithms
• Event shapes in N=4 super-Yang-Mills theory
• Inclusive jet spectrum for small-radius jets
• Energy-energy correlations in N=4 SYM
• Calculating Track-Based Observables for the LHC
• The Energy-Energy Correlation at Next-to-Leading Order in QCD, Analytically
• Analyzing N-point Energy Correlators Inside Jets with CMS Open Data
• Medium-induced parton splitting kernels from Soft Collinear Effective Theory with Glauber gluons
• Simplicity from Recoil: The Three-Loop Soft Function and Factorization for the Energy-Energy Correlation
• The back-to-back region in e^+e^- energy--energy correlation
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Quark Case
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• Transverse Dynamics of Hard Partons in Nuclear Media and the QCD Dipole
• Resolving the Scales of the Quark-Gluon Plasma with Energy Correlators
• Energy-energy correlation in electron-positron annihilation at NNLL+NNLO accuracy
• Infrared Renormalons and Power Suppressed Effects in $e^{+}{e}^{-}$ Jet Events
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• Four-point correlation function of stress-energy tensors in N=4 superconformal theories
• Analytic Next-To-Leading Order Calculation of Energy-Energy Correlation in Gluon-Initiated Higgs Decays
• Energy-energy correlations at next-to-next-to-leading order
• Energy correlations in the end-point region
• Probing the Short-Distance Structure of the Quark-Gluon Plasma with Energy Correlators
• Medium-induced gluon radiation and colour decoherence beyond the soft approximation
• Calculating Track Thrust with Track Functions
• Non-perturbative effects in the energy-energy correlation
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• Extending Precision Perturbative QCD with Track Functions
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• The Nucleon Energy Correlators
• Nucleon Energy Correlators for the Color Glass Condensate
• Medium-evolved fragmentation functions
• A New Paradigm for Precision Top Physics: Weighing the Top with Energy Correlators
• Power Corrections and Nonlocal Operators
• Detectors in weakly-coupled field theories
• Celestial Blocks and Transverse Spin in the Three-Point Energy Correlator
• The Energy-Energy Correlation in the back-to-back limit at N${}^3$LO and N${}^3$LL${}^{\prime }$
• Precise determination of ${\alpha }_S(M_Z)$ from a global fit of energy-energy correlation to NNLO+NNLL predictions
• Energy-energy correlators in Deep Inelastic Scattering
• Three-point energy correlators and the celestial block expansion
• Transverse-Energy-Energy Correlations in Deep Inelastic Scattering
• Jets and QCD: A Historical Review of the Discovery of the Quark and Gluon Jets and its Impact on QCD
• The Energy-Energy Correlation Function Revisited
• Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO
• Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory
• Nonperturbative Effects in Energy Correlators: From Characterizing Confinement Transition to Improving ${\alpha }_s$ Extraction
• Nuclear configurational entropy of the energy-energy correlation in $e^{+}{e}^{-}$ annihilation processes
• A Precision Calculation of the Next-to-Leading Order Energy-Energy Correlation Function
• The medium-modified $g\to c\bar{c}$ splitting function in the BDMPS-Z formalism
• Energy Correlators of Hadronically Decaying Electroweak Bosons
• Prospect of measuring the top quark mass through energy correlators
• Using the $W$ as a Standard Candle to Reach the Top: Calibrating Energy Correlator Based Top Mass Measurements
• Gluon Radiation and Parton Energy Loss
• Azimuthal correlation in DIS
• Positive Energy Conditions in 4D Conformal Field Theory
• Transverse Energy-Energy Correlations of jets in the electron-proton Deep Inelastic Scattering at HERA
• Two-loop anomalous dimensions for small-$R$ jet versus hadronic fragmentation functions
• Calorimetric transverse energy-energy correlations as a probe of jet quenching
• The rare decay KL -> pi0 mu+ mu- within the SM
• Fuchsia and Master Integrals for Energy-Energy Correlations at NLO in QCD
• Jet evolution from weak to strong coupling
• Rapidity-dependence of jet shape broadening and quenching
• LARGE LOGARITHM BEHAVIOUR OF e^+e^- JET CROSS SECTIONS AND EVENT SHAPE DISTRIBUTIONS IN O(alpha_s^2)

Cited by in corpus (1)

• Gluon Polarimetry with Energy-Energy Correlators